Building maps of local apparent conductivity of the epicardium with a 2-D electrophysiological model of the heart

Valérie Moreau-Villéger, Hervé Delingette, Maxime Sermesant, Hiroshi Ashikaga, Elliot McVeigh, Nicholas Ayache

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we address the problem of estimating the parameters of an electrophysiological model of the heart from a set of electrical recordings. The chosen model is the reaction-diffusion model on the transmembrane potential proposed by Aliev and Panfilov. For this model of the transmembrane, we estimate a local apparent two-dimensional conductivity from a measured depolarization time distribution. First, we perform an initial adjustment including the choice of initial conditions and of a set of global parameters. We then propose a local estimation by minimizing the quadratic error between the depolarization time computed by the model and the measures. As a first step we address the problem on the epicardial surface in the case of an isotropic version of the Aliev and Panfilov model. The minimization is performed using Brent method without computing the derivative of the error. The feasibility of the approach is demonstrated on synthetic electrophysiological measurements. A proof of concept is obtained on real electrophysiological measures of normal and infarcted canine hearts.

Original languageEnglish (US)
Article number1658140
Pages (from-to)1457-1466
Number of pages10
JournalIEEE Transactions on Biomedical Engineering
Volume53
Issue number8
DOIs
StatePublished - Aug 2006

Keywords

  • Data assimilation
  • Electrophysiology
  • Heart modeling
  • Inverse problem
  • Parameter estimation
  • Reaction-diffusion system

ASJC Scopus subject areas

  • Biomedical Engineering

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